Calkin representations for $L^{p}$
Functional Analysis
2019-09-23 v2
Abstract
We identify the weak closures of the ranges of certain Calkin representations for , . As a consequence, assuming the continuum hypothesis, we show that the commutant of , , in its ultrapower may or may not be trivial depending on the ultrafilter. This extends a result of Farah, Phillips and Stepr\=ans.
Cite
@article{arxiv.1707.09658,
title = {Calkin representations for $L^{p}$},
author = {March T. Boedihardjo},
journal= {arXiv preprint arXiv:1707.09658},
year = {2019}
}